Question

question 2
what is the volume of the bottle? (use π = 3.14)
282.6 cm³
94.2 cm³
188.4 cm³
565.2 cm³
question 3
a cylinder has a volume of 100π cm³ and a radius of 5 cm.
the height is cm.
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Explanation:

Step1: Recall the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\), where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height.

Step2: Substitute the given values into the formula

We are given \(V = 100\pi\space cm^{3}\) and \(r = 5\space cm\). Substituting these into the formula \(V=\pi r^{2}h\), we get \(100\pi=\pi\times(5)^{2}\times h\).

Step3: Simplify the equation

First, simplify \(\pi\times(5)^{2}\times h\) to \(25\pi h\). So the equation becomes \(100\pi=25\pi h\).

Step4: Solve for \(h\)

Divide both sides of the equation \(100\pi = 25\pi h\) by \(25\pi\). \(\frac{100\pi}{25\pi}=h\). Since \(\frac{100}{25}=4\) and \(\frac{\pi}{\pi}=1\) (for \(\pi
eq0\)), we find that \(h = 4\space cm\).

Answer:

\(4\)